Distributed \(H_-/H_\infty \) Attack Detection Based on FDI for Multi-area Load Frequency Control Systems

This paper addresses the False Data Injection (FDI) attack detection problem in multi-area Load Frequency Control (LFC) systems, proposing a distributed detection scheme based on mixed \(H_-/H_\infty \) criteria. Initially, a distributed attack detector based on mixed \(H_-/H_\infty \) is designed, which transforms the detector parameter design and system stability conditions into an optimal Linear Matrix Inequality (LMI) problem, achieving sensitivity to attacks and robustness against disturbances. Then, to reduce conservatism, a novel iterative LMI solving method is proposed by incorporating a simulated annealing algorithm for deep feasible solution search. Finally, an adaptive threshold mechanism is designed to detect attacks by residual evaluation, and simulations are utilized to verify the effectiveness of the proposed approach.